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Finding the Fourth Proportional to 960.46, 1,441.60 and 594.14

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Solution

The fourth proportional to 960.46, 1,441.60 and 594.14 is: 891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.46 : 1,441.60 = 594.14 : x
  2. Step 2: Convert to fraction form
    960.46/1,441.60 = 594.14/x
  3. Step 3: Cross multiply
    960.46x = 1,441.60 × 594.14
  4. Step 4: Simplify right side
    960.46x = 856,503.53
  5. Step 5: Solve for x
    x = 856,503.53/960.46
  6. Step 6: Final answer
    x = 891.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.